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Finding the Fourth Proportional to 13,644.46, 18,824.02 and 7,674.76

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Solution

The fourth proportional to 13,644.46, 18,824.02 and 7,674.76 is: 10,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.46 : 18,824.02 = 7,674.76 : x
  2. Step 2: Convert to fraction form
    13,644.46/18,824.02 = 7,674.76/x
  3. Step 3: Cross multiply
    13,644.46x = 18,824.02 × 7,674.76
  4. Step 4: Simplify right side
    13,644.46x = 144,469,835.74
  5. Step 5: Solve for x
    x = 144,469,835.74/13,644.46
  6. Step 6: Final answer
    x = 10,588.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.